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Finding the Fourth Proportional to 75,367.84, 113,067.76 and 28,619.68

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Solution

The fourth proportional to 75,367.84, 113,067.76 and 28,619.68 is: 42,935.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,367.84 : 113,067.76 = 28,619.68 : x
  2. Step 2: Convert to fraction form
    75,367.84/113,067.76 = 28,619.68/x
  3. Step 3: Cross multiply
    75,367.84x = 113,067.76 × 28,619.68
  4. Step 4: Simplify right side
    75,367.84x = 3,235,963,109.52
  5. Step 5: Solve for x
    x = 3,235,963,109.52/75,367.84
  6. Step 6: Final answer
    x = 42,935.60

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.